Solve the inequalities by graphing. Select the correct graph. y > 2x y < 3
Answers
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequalities to solve by graphing are given as:
[tex]y>2x\\\\y<3[/tex]
Now, in order to graph them, we first replace inequality sign by equal to sign.
So, the two equations are given as:
[tex]y=2x\\\\y=3[/tex]
Now, the first equation is a straight line of the form [tex]y=mx[/tex]. This is a line that passes through origin with slope equal to 'm'.
So, the slope of the first line is 2.
In order to plot the line,we take a random value of 'x'. Let [tex]x=1[/tex]
So, [tex]y=2\times 1=2[/tex]
So, the point on the line is (1, 2)
Now, we draw a line passing through the points (0, 0) and (1, 2). This is the line for the first equation.
Now, the second equation is a straight line parallel to the x-axis.
So, the equation [tex]y=3[/tex] is a straight line parallel to x-axis passing through the point (0, 3) as shown below.
Now, since the first inequality has 'y' greater than '2x'. So, the solution region is left of the line excluding the line.
Also, the second inequality has 'y' less than 3. So, the solution region is below the line excluding the line.
The common region for both the line inequalities is the solution.
The solution region is shown below.
Answer:
o, the solution region is left of the line excluding the line.
Also, the second inequality has 'y' less than 3. So, the solution region is below the line excluding the line.
Step-by-step explanation:
Related Questions
PLZZZZZ HELP!!!!
What idea, achievement, or life event is associated with Aristotle?
condemned to death by poison
tutored Alexander the Great
thought philosopher-kings should run the government
Answers
Answer: B) Tutored Alexander The Great
Step-by-step explanation: k12 test 1.12, :)
What is the equation of a line with a slope of -2 that passes through the
point, (-2, 12)?
O A. y = 4x-2
O B. y = -2x+6
O C. y = -2x+8
O D. y=-2x+4
SUBMIT
Answers
Answer:
O B. y = -2x+6
Step-by-step explanation:
can plz someone help me
Answers
The ball that reached the highest is Mario's because his reached past 10 whereas Jasmine's was 7.8. The ball that went the farthest is Jasmine's.
F(x)=-5x
G(x)=8x^2-5x-9
Find (f•g)(x)
A.-40x^4+25x^3+45x^2
B.-40x^3-5x-9
C.-40x^2+25x+45x
D.-40x^3+25^2+45x
Answers
Answer: D. -40x^3 + 25x^2 + 45x
Step-by-step explanation:
-5x(8x^2 - 5x - 9)
-40x^3 + 25x^2 + 45x
Use the graph method to solve the system of linear equations: y = -2x + 1 and y = x - 2 A) (-1, -1) B) (-1, 1) C) (0, 2) D) (1, -1)
Answers
Answer:
x=1, y=-1. (1, -1).
Step-by-step explanation:
y=-2x+1
y=x-2
------------
-2x+1=x-2
-2x-x=-2-1
-3x=-3
3x=3
x=3/3
x=1
y=1-2=-1
The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
Answers
Answer:
A. 7
Step-by-step explanation:
my unit test review said the other persons answer was wrong and it said this was right so ya.
The length of one leg of the given triangle is 1 unit.
What is Pythagoras theorem?The square of the hypotenuse is equal to the sum of the squares of other two sides.
Given the following parameters;
Hypotenuse = √2
If the lengths of the other two sides are congruent, thus;
x² + x² = (√2)²
2x² = 2
x² = 2/2
x² = 1
x = 1
Hence, the length of one leg of the triangle is 1 unit.
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The population of Cincinnati is 301,305 people. If 28.7% of people in Cincinnati live poverty, how many people live in poverty
Answers
Answer:
86,475 people live in poverty.
Step-by-step explanation:
We are given that the Total Cincinnati population is [tex]X_{TOT}=301,305[/tex] people.
We want to find the [tex]28.7[/tex]% of the Total population that lives in poverty. To do so we can use:
[tex]X_{POV}=\frac{28.7}{100}X_{TOT}[/tex]
where [tex]X_{POV}[/tex] is the amount of people that live in poperty. Plugging in values and solving we have:
[tex]X_{POV}=\frac{28.7}{100}301,305 \\X_{POV}=0.287*301,305\\X_{POV}=86,474.535[/tex]
However since here we are referring to number of people (i.e. population) we can not accept any irrational values so we need to round up our value so that
[tex]X_{POV}=86,475[/tex] people live in poverty in Cincinnati.
To find how many people live in poverty in Cincinnati, multiply the city's total population by the given percentage (expressed as a decimal). In this case, it is 301,305 * 0.287, which equals 86,574. Thus, an estimated 86,574 people live in poverty in Cincinnati.
Explanation:To find out how many people live in poverty in Cincinnati, you need to calculate 28.7% of the city's total population. To calculate the percentage of a number, you can multiply that number by the percentage expressed as a decimal. The calculation will look like this:
Population x Percentage = Number of people in poverty
So, it will be:
301,305 x 0.287 = 86,574.135
Normally in population estimates, we don't count fractions of people, so we'll round this down to the nearest whole number. Therefore, the number of people living in poverty in Cincinnati is approximately 86,574.
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A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps in the table.
Original equation
StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction
Cross multiplication
5 (x + 3) = 2 (3x + 5)
Distributive property
5 x + 15 = 2 (3 x + 5)
Subtraction property of equality
5 = x
Which method of solving for the variable could be used instead of cross multiplication?
distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x – 3 and then 3x – 5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by One-tenth
Answers
using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
Given equation is:
[tex]\frac{x+3}{2} = \frac{3x+5}{5}[/tex]
One method to solve this equation is cross-multiplication which the student has used.
One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides
So multiplying both sides by 10 (multiplication property of equality)
[tex]\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5[/tex]
The alternate method of LCM produces the same answer so the correct answer is:
using the multiplication property of equality to multiply both sides of the equation by 10
Keywords: Linear equations, variables
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Answer:
using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
What is 6x-5y=22
y= -8
Answers
1.) factor the y into the equation So it’ll be 6x-5(-8)=22
2. Solve the equation of -5*-8 = 40
3. The new equation is 6x+40=22
4. Subtract from both sides 22-40 = -18
5. The new equation is 6x=-18
6. Now we have to get x by itself to find its value, so divide by 6 on both sides. 6x/6 = x
And -18/6 = -3
So the value of x is -3
if the measurement of the angle P is three less than twice the measure of angle Q and angle P and angle Q are supplementary angles. what is each angle measure
Answers
Answer:
Step-by-step explanation:
Let angle Q = x°
Angle P = (2x - 3)°
And angle P and Q are supplementary angle which implies there sum is 180°
x + 2x - 3 = 180
3x = 180 + 3
3x = 183
x = 183/3
x = 61°
Angle Q = 61°
Angle P = 2x - 3
Angle P = 2(61) - 3
Angle P = 122 - 3
Angle P = 119°
which ordered pair in the form (x,y) is a solution of the equation 7x-5y=28
Answers
Answer:
(4 ,0) is a solution
Step-by-step explanation:
7(4) - 5(0) = 28 - 0 = 28
Step-by-step explanation:
there are more answers.. i get.two answers
x=9:y=7 and x=4;y=0
PLEASE ITS MY LAST QUESTION ON THIS ASSIGNMENT PLS PLS
The ratio of the angle measures of a triangle are 1:2:2. What type of triangle is this?
acute triangle
right triangle
obtuse triangle
equiangular triangle
Answers
Answer:
The answer is NOT D, because clearly the angle measurements are not EQUAL. So cross that off. My best guess would be A, acute triangle. Usually for that the two angles are shown as the same and the top angle is usually smaller. That's just from picturing it in the head.
Step-by-step explanation:
Can I have brainliest
Answer: The Answer is acute triangle
Which of the following best describes the set of even integers from 8 to 16
(8.16)
(8, 10, 12, 14, 16)
null set
[8, 9, 10, 11, 12, 13, 14, 15, 16)
Answers
Answer:
(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Step-by-step explanation:
To find the set of even integers from 8 to 16 as below :
There are 8,10,12,14,16 even integers in between the numbers 8 and 16
Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16
Point slope form. (9,-2) and (4,2)
Answers
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (9, -2) and (4, 2).
Substitute:
[tex]m=\dfrac{2-(-2)}{4-9}=\dfrac{2+2}{-5}=-\dfrac{4}{5}[/tex]
Put the value of a slope and coordinates of first or second point to the equation of a line:
[tex](9,\ -2),\ m=-\dfrac{4}{5}\\\\y-(-2)=-\dfrac{4}{5}(x-9)\\\\\boxed{y+2=-\dfrac{4}{5}(x-9)}\\\\(4,\ 2),\ m=-\dfrac{4}{5}\\\\y-2=-\dfrac{4}{5}(x-4)}[/tex]
You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent of error
Answers
Answer:
U were 20% off
Ure estimate was 80%
Step-by-step explanation:
16/20 is 80%
100%-80% is 20%
How can u solve 40x16 by breaking apart the numbers
Answers
Answer: 640
Step-by-step explanation:
You can break 16 up into 10 and 6: 40(10+6)
40(10)+40(6)
400+240
640
Final answer:
To solve 40x16, break apart the numbers into tens and use the distributive property to calculate the partial products, then sum up these products to get the final result of 640.
Explanation:
To solve 40x16 by breaking apart the numbers, you can use a strategy known as decomposing or partial products. Here's a step-by-step explanation:
Break apart the number 40 into 10s: 40 = 30 + 10.
Break apart the number 16 into 10s: 16 = 10 + 6.
Now use the distributive property to multiply each part:
(30 + 10) × (10 + 6)
Multiply each part individually: 30 x 10, 30 x 6, 10 x 10, and 10 x 6.
Calculate the partial products: 300, 180, 100, and 60.
Finally, add all the partial products: 300 + 180 + 100 + 60 = 640.
So, 40x16 equals 640 when you apply the breaking apart method.
Olivia goes shopping with a friend and notices her friend's fashionable winter boots. She thinks about the recent cool weather and realizes she needs to buy a pair. In which stage of the consumer purchase decision process was Olivia when she had this realization?
Answers
Answer:
Problem Recognition Stage (the first stage)
Explanation:
The "Consumer Buying Decision Process" consists of 5 stages. These are: Problem Recognition, Information Search, Evaluation of Alternatives, Purchase Decision and Post-Purchase Evaluation. This information is commonly used by marketing businesses in order to know the habit or behavior of people upon buying goods and services.
Olivia's situation above is in the "Problem Recognition" stage. This is the first stage of the process. She realizes that she needs the winter boots because of the cool weather and thus, she realizes that she has a need or a problem that she wanted to solve. Buyers recognize this problem as a gap in their needs, thus they want to fill it immediately once they recognize it. This will be followed by "Information Search," a time whereby she'll consider some options in buying boots.
Thus, this explains the answer.
sld;fn;sdlfhs;lfnskfhssf
Answers
PLEASE MARK BRAINLIEST!
Answer:
The best answer is 12.4 units.
Step-by-step explanation:
This is because, when I totaled all of the side lengths, I got an estimated result of 12 units. 12.4 is the next closest answer, so your answer is 12.4
I hope this helps!
- sincerelynini
Step-by-step explanation:
To get the right answer always you can use the save route: Pythagoras' theorem.
[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]
7. The sun is at an angle of elevation of 58º. A tree casts a shadow 20 meters long on
the ground. How tall is the tree?
Answers
The height of tree is 32 meter
Solution:
Given that, The sun is at an angle of elevation of 58 degree
A tree casts a shadow 20 meters long on the ground
The sun, tree and shadow forms a right angled triangle
The figure is attached below
ABC is a right angled triangle
AC is the height of tree
AB is the length of shadow
AB = 20 meters
Angle of elevation, angle B = 58 degree
By definition of tan,
[tex]tan \theta = \frac{opposite}{adjacent}[/tex]
In this right angled triangle ABC,
opposite = AC and adjacent = AB
Therefore,
[tex]tan\ 58 = \frac{AC}{AB}\\\\tan\ 58 = \frac{AC}{20}\\\\1.6 = \frac{AC}{20}\\\\AC = 1.6 \times 20\\\\AC = 32[/tex]
Thus height of tree is 32 meter
Final answer:
To determine the height of the tree using the angle of elevation of the sun and the shadow length, apply the tangent function. With an elevation of 58º and a shadow of 20 meters, the tree’s height is calculated to be approximately 33.94 meters.
Explanation:
To find the height of the tree given the angle of elevation of the sun and the length of the shadow it casts, we can make use of trigonometry. Specifically, we will use the tangent function, which relates the angle of elevation with the opposite side (the height of the tree) and the adjacent side (the length of the shadow).
Step-by-step solution:
Let's denote the height of the tree as H and the length of the shadow as 20 meters.The angle of elevation of the sun is given as 58º.Using the tangent function: tan(θ) = opposite/adjacent, where θ is the angle of elevation.Plugging in the values, we get tan(58º) = H / 20 meters.Solve for H by multiplying both sides by 20 meters: H = 20 meters · tan(58º).Use a calculator to find tan(58º), and then compute H.After calculating, we find that the height of the tree is approximately 33.94 meters.Thus, the height of the tree is approximately 33.94 meters.
LaTeX: \angle∠J and LaTeX: \angle∠K are supplementary angles. If mLaTeX: \angle∠K is 84LaTeX: ^\circ∘, what is the measure of LaTeX: \angle∠J?
Group of answer choices
Answers
The first angle is 84. We know that supplementary angles equal 180. Therefore to find the second angle we just have to take away 84 from 180.
f(x)= x2-5x+2. Find f(-4)
Answers
Answer:
f ( 4 ) = 18
Step-by-step explanation:
Explanation:
f ( x ) = 5 x − 2
Replace 4 instead of x to find f ( 4 )
f ( 4 ) = 5 ( 4 ) − 2 = 20 − 2 = 18
The value of f(-4) for the function f(x) = x^2 - 5x + 2 is 38.
Explanation:To find the value of f(-4) for the function f(x) = x^2 - 5x + 2, you substitute -4 for x in the function.
It looks like this:
f(-4) = (-4)^2 - 5(-4) + 2
First, you square -4, which is (-4)^2 = 16.
Then, you calculate -5 times -4, which is 20.
Finally, you add 2 to the result.
So, f(-4) is equal to:
f(-4) = 16 - 20 + 2 = 38
The final answer is 38.
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Which statements are true about the ordered pair (-3, 1) and the system of
equations?
(x - 4y = 6
| 3x + y = -8
Select each correct answer.
The ordered pair
is a solution to the first equation because it
makes the first equation true.
The ordered pair (-3, 1) is a solution to the second equation
because it makes the second equation true.
The ordered pair
is not a solution to the system because it
makes at least one of the equations false.
is a solution to the system because it
The ordered pair
makes both equations true.
Answers
The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
Solution:
Given system of equations are:
x - 4y = 6 ------- eqn 1
3x + y = -8 ------------ eqn 2
Given ordered pair is (-3, 1)
We have to check if the options are true
Let us substitute (x, y) = (-3, 1) in eqn 1
[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]
Thus the given ordered pair (-3, 1) did not satisfy the first equation
Substitute (x, y) = (-3, 1) in eqn 2
[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]
Thus the given ordered pair (-3, 1) satisfied the second equation
But for a ordered pair to be a solution to system of equations, it must satisfy both the equations
Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
For every 12 boys at the music camp, there are 18 girls. Which is the correct ratio of girls to total number of campers?
A.18 to 12
B.12 to 30
C.3:2
D.3:5
Answers
The ratio is 12:30 or if broken down 2:5
but the answer is 12 to 30 or 12:30
Answer:
The answer is D.
Step-by-step explanation:
There are 30 campers total. The ratio as a fraction is 18/30. If you reduce this, you get 3/5, or 3:5.
(3x+6)(4x+2) what is the answer
Answers
Answer:
12x^2 + 30x + 12
Step-by-step explanation:
Expand the equation using FOIL (First Outside Inside Last)
Hope this helps! :]
Kate's new juicer is able to squeeze
3
4
of a cup of orange juice from
1
12
of a bag of oranges. Compute the unit rate of cups per bag of oranges?
Answers
Answer:
9 cups per bag
Step-by-step explanation:
1/12 bag = 3/4 cup
12/12 bag = ? cup
1/12 × 12 = 12/12
3/4 × 12 = 36/4
36/4 = 9
Answer: 9 cups per bag
Step-by-step explanation: Apply the division rule of fractions: multiply the numerator by the reciprocal of the denominator.
3/4
1/12
=
3/4
×
12/1
=
36/4 = 9 cups per bag
what is the value of g divided 4, if g=20
Answers
Answer:
5
Step-by-step explanation:
G=20
20÷4=5
Hope this helps!
factorise 9f²-12f plus 4
Answers
Answer:
(3f - 2)²
Step-by-step explanation:
Given
9f² - 12f + 4
Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.
product = 9 × 4 = 36 and sum = - 12
The factors are - 6 and - 6
Use these factors to split the f- term
9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )
= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term
= (3f - 2)(3f - 2)
= (3f - 2)²
Answer:
9f² - 12f + 4 = (3f - 2)²
Step-by-step explanation:
9f²-12f+4 =
= (3f)²-2×(3f)×(2)+2²
= (3f-2)²
The total of 3 games is $38.97 . Each game costs the same amount. Write an equation that can be used to determine n , the cost of 1 game
Answers
Answer:
Step-by-step explanation:
3games cost38.97 so you have to divide 38.97divided by 3=12.99 so each game was 12.99 a game
To determine the cost of 1 game, set up an equation: 3n = $38.97. Divide both sides of the equation by 3 to isolate n. The cost of one game is $12.99.
Explanation:To find the cost of one game, we can set up the equation 3n = $38.97based on the given information. where n represents the cost of one game. Since each game costs the same amount, we can write the equation:
3n = $38.97
Divide both sides of the equation by 3:
n = $38.97 / 3
Dividing both sides of the original equation by 3 is a way to undo the multiplication by 3 on the left side, thereby isolating the variable n.
When we perform this division, we find that n is equal to $12.99.
n = $12.99
Therefore, the cost of one game is $12.99.
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On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars write an equation of the form y = kx
Answers
On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.
Answer:y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.
Solution:Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars
Let "y" be the value in dollars
Let "x" be the number of euros
We have to write a equation in form of y = kx
8 euros were worth 9 dollars
"k" is found as follows:
[tex]k = \frac{\text{value in dollars}}{\text{number of dollars}}[/tex]
[tex]k = \frac{9}{8}[/tex]
Therefore, equation of y = kx is given as:
[tex]y = \frac{9}{8}x[/tex]
[tex]y = 1.125x[/tex]
To check the equation, use the another given value
24 euros were worth $27
[tex]y = 1.125 \times 24\\\\y = 27[/tex]
Hence the equation y = 1.125x is correct
Samar likes to snack frequently during the day, but he wants his snacks to provide at least 24 grams of protein per day. Each snack pack provides 4 grams of protein and each minibite provides 1 gram. snack pack cost 50 cents each and minibites 12 cents. how many of each snack should he use to minimize his daily cost?
Answers
Answer:
24 minibites
Step-by-step explanation:
The cost of protein in the snack pack is ...
$0.50/(4 g) = $0.125/g
The cost of protein in the minibites is ...
$0.12/(1 g) = $0.120/g
Since the cost of protein is less for minibites, and the only criterion is the amount of protein, the lowest-cost snack mix is 24 minibites.
Answer:
24 minibites
Step-by-step explanation:hoped tt his helped